A 30-cm bar is made from putting together three 10-cm bars ofsteel, copper, and

Question

A 30-cm bar is made from putting together three 10-cm bars ofsteel, copper, and aluminum, each having cross-sectional area 4cm2. One end of the steel is in contact with anice-water mixture. When the system comes intoequilibrium,
(a) What is the temperature at the end of each bar, and (b) at what rate is ice melting? (c) What is the effective thermal conductivity of the 3-barcombination? (d) Would your answers go up, go down, or stay the same if theorder were changed to copper-steel-aluminum? (DoNOT solve the problem again to answer thisquestion.) Explain.
(a) What is the temperature at the end of each bar, and (b) at what rate is ice melting? (c) What is the effective thermal conductivity of the 3-barcombination? (d) Would your answers go up, go down, or stay the same if theorder were changed to copper-steel-aluminum? (DoNOT solve the problem again to answer thisquestion.) Explain.

Explanation / Answer

The problem is incomplete! You have to be given the temperature at the end of the Albar. The rate of conduction thru the steel bar is H = K A (TCu - Tsteel) / L = .12 * 4 *(TCu - Tsteel) / 10 You can write similar equations for the other 2 bars butwithout the temperature at the other end of the rod (Al) you can't solve for the rate ofheat of flow thru the combination.

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